This circle passes through the points (-1, 2), (3,2) and (9,0). The center of the circle is at (h,k). What is the value of h+k?

Guest Jul 16, 2022

#1**-1 **

Suppose we have a triangle with coordinates (-1, 2), (3, 2), and (9, 0). The circumcenter which is (h, k) is equidistanct from all the points. From this we can form two equations:

(h-3)^2 + (k-2)^2 = (h-9)^2 + k ^2

(h + 1)^2 + (k - 2)^2 = (h - 9)^2 + k^2

Simplifying those two equations gives us:

3h - k = 17

5h - k = 19

Can you solve h and k from here and find h + k?

Voldemort Jul 17, 2022